SOLUTION: Parallel line a and m are cut by a trans versal, measure of angle 1 is 4x+16 and measure of angle 2 is 2x-22. What is the measure of angle 1. (This diagram shows same side interior

Question 455709: Parallel line a and m are cut by a trans versal, measure of angle 1 is 4x+16 and measure of angle 2 is 2x-22. What is the measure of angle 1. (This diagram shows same side interior angles)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Parallel line a and m are cut by a trans versal, measure of angle 1 is 4x+16 and measure of angle 2 is 2x-22. What is the measure of angle 1. (This diagram shows same side interior angles)
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same side interior angles are supplementary.
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Equation:
4x+16 + 2x-22 = 180
6x - 6 = 180
x -1 = 30
x = 31
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Angles:
4x+16 = 4*31+16 = 124+16 = 140 degrees
2x-22 = 2*31-22 = 62-22 = 40 degrees
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Cheers,
Stan H.
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